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Finding the Fourth Proportional to 3,822.56, 5,275.15 and 2,230.31

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Solution

The fourth proportional to 3,822.56, 5,275.15 and 2,230.31 is: 3,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.56 : 5,275.15 = 2,230.31 : x
  2. Step 2: Convert to fraction form
    3,822.56/5,275.15 = 2,230.31/x
  3. Step 3: Cross multiply
    3,822.56x = 5,275.15 × 2,230.31
  4. Step 4: Simplify right side
    3,822.56x = 11,765,187.84
  5. Step 5: Solve for x
    x = 11,765,187.84/3,822.56
  6. Step 6: Final answer
    x = 3,077.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.